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Finding the Fourth Proportional to 8,569.84, 11,833.08 and 6,577.24

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Solution

The fourth proportional to 8,569.84, 11,833.08 and 6,577.24 is: 9,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.84 : 11,833.08 = 6,577.24 : x
  2. Step 2: Convert to fraction form
    8,569.84/11,833.08 = 6,577.24/x
  3. Step 3: Cross multiply
    8,569.84x = 11,833.08 × 6,577.24
  4. Step 4: Simplify right side
    8,569.84x = 77,829,007.10
  5. Step 5: Solve for x
    x = 77,829,007.10/8,569.84
  6. Step 6: Final answer
    x = 9,081.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.